Question

What is the product of 2/3a and (3b+2)?

Answer 1

`(2(3b+2))/(3a)`.

Explanation:

1. Write the expression.

`(2)/(3a) *(3b+2)`

2. Apply the distributive rule of multiplication.

Take a look at the attached image.

`((2)/(3a) *3b)+((2)/(3a) *2)\\ \\(2*3b)/(3a) +(2*2)/(3a)\\ \\(6b)/(3a) +(4)/(3a)`

3. Add up the fractions.

`(6b+4)/(3a)`

4. Factorize the numerator.

`(2(3b+2))/(3a)`.